Answer the following questions with reference to the function

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Answer the following questions with reference to the function h(x)=ex ln⁡x,  x>0h(x)=e^{x}\,\ln x,\;x>0. (i) Explain briefly why the use of the product rule is essential when differentiating h(x)h(x). (ii) Using the appropriate differentiation rules, obtain h′(x)h'(x) in its simplest form.

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